Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin; JV Chang-Sheng

Chinese Physics C> 2002, Vol. 26> Issue(4) : 299-304

Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin ^, ,
JV Chang-Sheng

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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Abstract：
The newly developed single trajectory quadrature method is applied to solve the ground state quantum wave function for Coulomb plus linear potential. The general analytic expressions of the energy and wave function for the ground state are given. The convergence of the solution is also discussed. The method is applied to the ground state of the heavy quarkonium system.

References

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ZHAO Wei-Qin and JV Chang-Sheng. Analytic Solution of Ground State for Coulomb Plus Linear Potential[J]. Chinese Physics C, 2002, 26(4): 299-304.

ZHAO Wei-Qin and JV Chang-Sheng. Analytic Solution of Ground State for Coulomb Plus Linear Potential[J]. Chinese Physics C, 2002, 26(4): 299-304. shu

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Received: 2001-11-27
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin ^,
JV Chang-Sheng

Corresponding author: ZHAO Wei-Qin,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 2001-11-27
Accepted Date: 1900-01-01
Available Online: 2002-04-05

Abstract: The newly developed single trajectory quadrature method is applied to solve the ground state quantum wave function for Coulomb plus linear potential. The general analytic expressions of the energy and wave function for the ground state are given. The convergence of the solution is also discussed. The method is applied to the ground state of the heavy quarkonium system.